417.33 is what percent of 5008 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 5008 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 5008, so we can write it down as 100%=5008.
4. We know, that x% equals 417.33 of the output value, so we can write it down as x%=417.33.
5. Now we have two simple equations:
1) 100%=5008
2) x%=417.33
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=5008/417.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 417.33 is what percent of 5008

100%/x%=5008/417.33
(100/x)*x=(5008/417.33)*x       - we multiply both sides of the equation by x
100=12.000095847411*x       - we divide both sides of the equation by (12.000095847411) to get x
100/12.000095847411=x
8.3332667731629=x
x=8.3332667731629

now we have:
417.33 is 8.3332667731629% of 5008